A box beam, ABC, is constructed of wooden boards and nails as shown in Fig6b. It is subjected to loads as shown in Fig.6a. End A is a fixed support. Oak wood has a young modulus of, E = 20 GPa. Determine, A 2 m B 4 kN/m 3 m |C 100 mm 30 mm 30 mm 30 mm 150 mm 250 mm 30 mm Fig. 6a Fig. 6b a) Construct Shear and Moment diagram and find the maximum Moment, Mmax and the maximum shear force, Vmax of the beam ABC b) Calculate the maximum normal stress and skate the normal stress distribution c) Determine the shear force acting on each nail if nails are placed at 100 mm. apart along the beam d) If nails are made of steel with the allowable shear stress of 85 MPa, determine the diameter of each nail. e) Suggest ways to 1) to increase the ability of the shaft to take higher forces and 2) reduce shear force acting on each nail.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.6.13P: A two-axle carriage that is part of an over head traveling crane in a testing laboratory moves...
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A box beam, ABC, is constructed of wooden boards and nails as shown in Fig6b. It is subjected to loads as
shown in Fig.6a. End A is a fixed support. Oak wood has a young modulus of, E = 20 GPa. Determine,
A
2 m
B
4 kN/m
3 m
|C
100 mm
30 mm
30 mm
30 mm
150 mm
250 mm 30 mm
Fig. 6a
Fig. 6b
a) Construct Shear and Moment diagram and find the maximum Moment, Mmax and the maximum shear force,
Vmax of the beam ABC
b) Calculate the maximum normal stress and skate the normal stress distribution
c) Determine the shear force acting on each nail if nails are placed at 100 mm. apart along the beam
d) If nails are made of steel with the allowable shear stress of 85 MPa, determine the diameter of each nail.
e) Suggest ways to 1) to increase the ability of the shaft to take higher forces and 2) reduce shear force
acting on each nail.
Transcribed Image Text:A box beam, ABC, is constructed of wooden boards and nails as shown in Fig6b. It is subjected to loads as shown in Fig.6a. End A is a fixed support. Oak wood has a young modulus of, E = 20 GPa. Determine, A 2 m B 4 kN/m 3 m |C 100 mm 30 mm 30 mm 30 mm 150 mm 250 mm 30 mm Fig. 6a Fig. 6b a) Construct Shear and Moment diagram and find the maximum Moment, Mmax and the maximum shear force, Vmax of the beam ABC b) Calculate the maximum normal stress and skate the normal stress distribution c) Determine the shear force acting on each nail if nails are placed at 100 mm. apart along the beam d) If nails are made of steel with the allowable shear stress of 85 MPa, determine the diameter of each nail. e) Suggest ways to 1) to increase the ability of the shaft to take higher forces and 2) reduce shear force acting on each nail.
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